Labor may question SA Senate candidate

The federal Labor Party is considering making further submissions to the High Court next week when it meets to consider declaring Kenyan-born lawyer and Family First candidate Lucy Gichuhi South Australia's newest senator.

Ms Gichuhi is set to fill the vacancy created after former Family First senator Bob Day was ruled ineligible by the court last week.

Having become an Australian citizen in 2001, Ms Gichuhi believes she is eligible to take up the position.

But the ALP says after taking legal advice from senior counsel, it is considering making further submissions when the Court of Disputed Returns considers the matter on Wednesday.

"The election of a senator is an important constitutional matter," a spokesperson for acting shadow attorney-general Katy Gallagher told AAP.

"It is incredibly important that the validity of each senator's election is beyond question.

"This is not about Ms Gichuhi, this is about the integrity of the Senate and the electoral system."